The **Duality of Time Theory**, that results from the
**Single Monad Model of the Cosmos**, explains how *physical multiplicity* is emerging from absolute
(metaphysical) *Oneness*, at every instance of our normal time! This leads to the **Ultimate Symmetry** of space and its dynamic formation and breaking into the *physical* and *psychical* (supersymmetrical) creations, in orthogonal time directions. *General Relativity* and *Quantum Mechanics* are complementary **consequences** of the Duality of Time Theory, and all the fundamental interactions become properties of the new **granular complex-time geometry**, at diifferent dimensions. - **=> Conference Talk [Detailed Presentation]**

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In addition to explaining the constancy and invariance of the speed of light and merging it with the second and third principles of Relativity, the Duality of Time postulate is the only way to explain the equivalence and transmutability between mass and energy (). Einstein gave various heuristic arguments for this relation without ever being able to prove it in any theoretical way (Hecht, 2011), neither did anyone else. Based on Doppler effect and Maxwell’s theory of radiation, the reasoning that he gave in his 1905 original derivation (Einstein, 1905) was questioned by Planck (Planck, 1906) and shown to be faulty (Ives, 1952). In 1907, Einstein acknowledged the controversy over his derivation (Einstein, 1907), and in the following forty years, he produced more than half dozen proofs that all suffer from unjustified assumptions or approximations. He never succeeded in producing a valid general proof (Ohanian, 2009). In 1955 he wrote in a letter to Carl Seelig: “I had already previously found that Maxwell’s theory did not account for the micro-structure of radiation and could therefore have no general validity.” (Capria, 2005). In 1990, Rohrlich tried to apply the relativistic Doppler shift, but he also had to introduce various approximations in order to reach the final equation (Rohrlich, 1990). Various other attempts have been made in this regard but until now there is no exact derivation of this famous formula.

It can be readily seen from Figure 6.2.1 that the transmutability between mass and energy can only occur in the inner levels of time, because it must involve motion at the speed of light that appears on the normal level of time as instantaneous, hence the same Relativity laws become inapplicable since they prohibit massive particles from moving at the speed of light, in which case , so the mass would be infinite and also the energy. In the inner levels of time, however, this would be the normal behavior because the geometrical points are still massless, and their continuous coupling and decoupling is what generates mass and energy on the inner and outer levels of time, respectively, as explained further in section 6.2.3 below.

As we introduced in section 5.1 above, the normal limited velocities of massive physical particles and objects are a result of the spatial and temporal superposition of the various dual-state velocities of their individual points. This superposition occurs in the inner levels of time, where individually each point is massless and it is either at rest or moving at the speed of creation, but collectively they have some non-zero inertial mass , energy , and limited total apparent velocity , which can be calculated from equation 5. We also explained in section 5.3 above, that when we consider this imaginary velocity as being real, the Duality of Time Theory reduces to General Relativity, but when we consider its imaginary character we will uncover the hidden discrete space-time symmetry and we will automatically obtain Lorentz transformation, without introducing the principle of invariance of physics laws. For the same reason, we can see here that the mass-energy equivalence can only be derived based on this profound discreteness that is manifested in dual-state velocity, which then allows the square integration in Figure 6.2.1, because the change in speed is occurring abruptly from zero to . Otherwise, when we consider to be real continuous in time, we will get the gradual change which produces the triangular integration with the factor of half that gives the normal kinetic energy .

Based on this metaphysical behavior in the inner levels of time, we will provide in the following various exact derivations of the mass-energy equivalence relation, in its simple and relativistic forms, directly from the classical equation of mechanical work . The first two methods, in sections 6.2.2 and 6.2.3, involve integration (or rather: summation) in the inner time when the velocity changes abruptly from zero to , or when the mass is generated (from zero to ) in the inner time. This is obviously not allowed on the normal level of time when dealing with physical objects. The third method, in section 6.2.7, gives the total relativistic energy , by integrating over the inner and outer levels together, while in section 6.2.8 we will derive the relativistic energy-momentum relation directly from the definition of momentum as , also by integrating over the inner and outer levels together and accounting for what happens in each stage. Furthermore, we will see in sections 6.3 and 6.4 that the absolute invariance, and not just covariance, of complex momentum and energy, provide yet other direct derivations because they also lead to , that is equivalent with or as demonstrated in 9.

Actually, since we have shown previously that the new vacuum is a perfect super-fluid, the mass-energy equivalence relation can be easily derived from the equation of wave propagation in such perfect medium: (), but we will not discuss that further in this article.

## ... Monadology =>:

## ... Carl Seelig =>:

## ... Valid General =>:

## ... Dozen Proofs =>:

## ... Original Derivation =>:

## ... Easily Derive =>:

## ... Obtain Lorentz =>:

## ... Automatically Obtain =>:

## ... Continuous Coupling =>:

## ... Normal Behavior =>:

## ... Prohibit Massive =>:

## ... Involve Motion =>:

... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...

... than half dozen proofs that all suffer from unjustified assumptions or approximations. He never succeeded in producing a valid general proof (Ohanian, 2009). In 1955 he wrote in a letter to Carl Seelig: “I had already previously found that Maxwell’s theory did not account for the micro ...

... (Einstein, 1907), and in the following forty years, he produced more than half dozen proofs that all suffer from unjustified assumptions or approximations. He never succeeded in producing a VALID GENERAL proof (Ohanian, 2009). In 1955 he wrote in a letter to Carl Seelig: “I had already p ...

... 1906) and shown to be faulty (Ives, 1952). In 1907, Einstein acknowledged the controversy over his derivation (Einstein, 1907), and in the following forty years, he produced more than half DOZEN PROOFS that all suffer from unjustified assumptions or approximations. He never succeeded in p ...

... ver being able to prove it in any theoretical way (Hecht, 2011), neither did anyone else. Based on Doppler effect and Maxwell’s theory of radiation, the reasoning that he gave in his 1905 ORIGINAL DERIVATION (Einstein, 1905) was questioned by Planck (Planck, 1906) and shown to be faulty ...

... o , that is equivalent with or as demonstrated in 9. Actually, since we have shown previously that the new vacuum is a perfect super-fluid, the mass-energy equivalence relation can be EASILY DERIVE d from the equation of wave propagation in such perfect medium: ( ), but we will not di ...

... eal, the Duality of Time Theory reduces to General Relativity, but when we consider its imaginary character we will uncover the hidden discrete space-time symmetry and we will automatically obtain Lorentz transformation, without introducing the principle of invariance of physics laws. For ...

... ity as being real, the Duality of Time Theory reduces to General Relativity, but when we consider its imaginary character we will uncover the hidden discrete space-time symmetry and we will AUTOMATICALLY OBTAIN Lorentz transformation, without introducing the principle of invariance of phys ...

... e , so the mass would be infinite and also the energy. In the inner levels of time, however, this would be the normal behavior because the geometrical points are still massless, and their CONTINUOUS COUPLING and decoupling is what generates mass and energy on the inner and outer levels o ...

... ey prohibit massive particles from moving at the speed of light, in which case , so the mass would be infinite and also the energy. In the inner levels of time, however, this would be the NORMAL BEHAVIOR because the geometrical points are still massless, and their continuous coupling and ...

... levels of time, because it must involve motion at the speed of light that appears on the normal level of time as instantaneous, hence the same Relativity laws become inapplicable since they PROHIBIT MASSIVE particles from moving at the speed of light, in which case , so the mass would be ...

... xact derivation of this famous formula. It can be readily seen from Figure 6.2.1 that the transmutability between mass and energy can only occur in the inner levels of time, because it must INVOLVE MOTION at the speed of light that appears on the normal level of time as instantaneous, henc ...

The science of Time is a noble science, that reveals the secret of Eternity. Only the Elites of Sages may ever come to know this secret. It is called the First Age, or the Age of ages, from which time is emerging.

Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory

I have no doubt that this is the most significant discovery in the history of mathematics, physics and philosophy, ever!

By revealing the mystery of the connection between discreteness and contintuity, this novel understanding of the complex (time-time) geometry, will cause a paradigm shift in our knowledge of the fundamental nature of the cosmos and its corporeal and incorporeal structures.

*Enjoy reading... *

**Mohamed Haj Yousef**

Check this detailed video presentation on "Deriving the Principles of Special, General and Quantum Relativity Based on the Single Monad Model Cosmos and Duality of Time Theory".

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